ACCUPLACER MATH TEST
QUESTIONS WITH COMPLETE
SOLUTIONS6
3(x + 1) = 5(x − 2) + 7 - ANSWERS -3(x + 1) = 5(x − 2) + 7
3x + 3 = 5x − 10 + 7
3x + 3 = 5x − 3
We can add 3 to both sides to get the following:
3x + 6 = 5x
We can subtract 3x from both sides and then divide the resulting equation by 2 to solve for x as
follows:
6 = 2x
3=x
x4 − y if x = 3 and y = −20 - ANSWERS -Plug in
= 34sq − (−20)
= 81 + 20
= 101
What is the radius of a circle with an area of 25π in2? - ANSWERS -A = πr2
25π = πr2
25 = r2
r = 5 in.
, Joe's current age is five times Mary's age ten years ago. If Mary is currently m years old, what is
Joe's current age in terms of m? - ANSWERS -Mary's age ten years ago is:
m − 10
So Joe's age is:
5(m − 10)
= 5m − 50
(3x + 4y)(2x + 5y) = ? - ANSWERS -The "FOIL method" is the easiest way to remember how to
multiply two-termed expressions. Multiply the First two terms, then the Outer two terms, then
the Inner two terms, and then the Last two terms, then sum all four to arrive at the answer:
(3x + 4y)(2x + 5y)
= 6x2 + 15xy + 8xy + 20y2
= 6x2 + 23xy + 20y2
Total Time/Total Time; Total Distance - ANSWERS -Total Distance = 2(70) + 5(63)
= 140 + 315
= 455 km
Total Time = 7 hours
Average Speed = 455 ÷ 7
= 65 km/h
Sam wants to cover his garden patio with brick tiles. His patio measures 15 feet by 20 feet. Each
brick is 1 foot x 1 foot and costs $2. How much money will Sam spend if he buys exactly enough
tiles to cover his patio? - ANSWERS -Total Area is L x W
15ft x 20 ft = 300 ft
1ft x 1ft = 1ft2square
300ft/1ft2square
300 x 2= 600 ft
QUESTIONS WITH COMPLETE
SOLUTIONS6
3(x + 1) = 5(x − 2) + 7 - ANSWERS -3(x + 1) = 5(x − 2) + 7
3x + 3 = 5x − 10 + 7
3x + 3 = 5x − 3
We can add 3 to both sides to get the following:
3x + 6 = 5x
We can subtract 3x from both sides and then divide the resulting equation by 2 to solve for x as
follows:
6 = 2x
3=x
x4 − y if x = 3 and y = −20 - ANSWERS -Plug in
= 34sq − (−20)
= 81 + 20
= 101
What is the radius of a circle with an area of 25π in2? - ANSWERS -A = πr2
25π = πr2
25 = r2
r = 5 in.
, Joe's current age is five times Mary's age ten years ago. If Mary is currently m years old, what is
Joe's current age in terms of m? - ANSWERS -Mary's age ten years ago is:
m − 10
So Joe's age is:
5(m − 10)
= 5m − 50
(3x + 4y)(2x + 5y) = ? - ANSWERS -The "FOIL method" is the easiest way to remember how to
multiply two-termed expressions. Multiply the First two terms, then the Outer two terms, then
the Inner two terms, and then the Last two terms, then sum all four to arrive at the answer:
(3x + 4y)(2x + 5y)
= 6x2 + 15xy + 8xy + 20y2
= 6x2 + 23xy + 20y2
Total Time/Total Time; Total Distance - ANSWERS -Total Distance = 2(70) + 5(63)
= 140 + 315
= 455 km
Total Time = 7 hours
Average Speed = 455 ÷ 7
= 65 km/h
Sam wants to cover his garden patio with brick tiles. His patio measures 15 feet by 20 feet. Each
brick is 1 foot x 1 foot and costs $2. How much money will Sam spend if he buys exactly enough
tiles to cover his patio? - ANSWERS -Total Area is L x W
15ft x 20 ft = 300 ft
1ft x 1ft = 1ft2square
300ft/1ft2square
300 x 2= 600 ft
